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This article is cited in 13 scientific papers (total in 13 papers)
Bounded Algebraic Geometry over a Free Lie Algebra
E. Yu. Daniyarova, V. N. Remeslennikov Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Abstract:
Bounded algebraic sets over a free Lie algebra $F$ over a field $k$ are classified in three equivalent languages: (1) in terms of algebraic sets; (2) in terms of radicals of algebraic sets; (3) in terms of coordinate algebras of algebraic sets.
Keywords:
arithmetic hierarchy, Rogers semilattice, elementary theory.
Received: 20.04.2004 Revised: 06.12.2004
Citation:
E. Yu. Daniyarova, V. N. Remeslennikov, “Bounded Algebraic Geometry over a Free Lie Algebra”, Algebra Logika, 44:3 (2005), 269–304; Algebra and Logic, 44:3 (2005), 148–167
Linking options:
https://www.mathnet.ru/eng/al112 https://www.mathnet.ru/eng/al/v44/i3/p269
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Abstract page: | 492 | Full-text PDF : | 141 | References: | 78 | First page: | 1 |
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